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Finding the Fourth Proportional to 617.23, 851.82 and 368.54

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Solution

The fourth proportional to 617.23, 851.82 and 368.54 is: 508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 851.82 = 368.54 : x
  2. Step 2: Convert to fraction form
    617.23/851.82 = 368.54/x
  3. Step 3: Cross multiply
    617.23x = 851.82 × 368.54
  4. Step 4: Simplify right side
    617.23x = 313,932.65
  5. Step 5: Solve for x
    x = 313,932.65/617.23
  6. Step 6: Final answer
    x = 508.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.